Graduate students and postdoctoral fellows currently encounter requests for a statement of teaching philosophy in at least half of academic job announcements in the United States. A systematic process for the development of a teaching statement is required that integrates multiple sources of support, informs writers of the document's purpose and audience, helps writers produce thoughtful statem...

Abstract: Model selection is often performed by empirical risk minimization. The quality of selection in a given situation can be assessed by risk bounds, which require assumptions both on the margin and the tails of the losses used. Starting with examples from the 3 basic estimation problems, regression, classification and density estimation, we formulate risk bounds for empirical risk minimiz...

The Discrepancy Method is a constructive method for proving upper bounds that has received a lot of attention in recent years. In this paper we revisit a few important results, and show how it can be applied to problems in Machine Learning such as the Empirical Risk Minimization and Risk Estimation by exploiting connections with combinatorial dimension theory.

Water vapor, as one of the most important greenhouse gases, is crucial for both climate and atmospheric studies. Considering the high spatial and temporal variations of water vapor, a timely and accurate retrieval of precipitable water vapor (PWV) is urgently needed, but has long been constrained by data availability. Our study derived the vertically integrated precipitable water vapor over eas...

Despite the increasing evidence of drastic and profound changes in many ecosystems, often referred to as regime shifts, we have little ability to understand the processes that provide insurance against such change (resilience). Modelling studies have suggested that increased variance may foreshadow a regime shift, but this requires long-term data and knowledge of the functional links between ke...

We determine theoretically the relation between the total number of protons Np and the mass number A (the charge to mass ratio) of nuclei and neutron cores with the model recently proposed by Ruffini et al. (2007) and we compare it with other Np versus A relations: the empirical one, related to the Periodic Table, and the semi-empirical relation, obtained by minimizing the Weizsäcker mass formu...

OBJECTIVES The objective of this research is to analyse the evolution and nature of published empirical research in the fields of medical ethics and bioethics. DESIGN Retrospective quantitative study of nine peer reviewed journals in the field of bioethics and medical ethics (Bioethics, Cambridge Quarterly of Healthcare Ethics, Hastings Center Report, Journal of Clinical Ethics, Journal of Me...

Recall that in Theorem 2.1, we analyzed empirical risk minimization with a finite hypothesis class F , i.e., |F| < +∞. Here as in Theorem 4.1, we will prove results for a possibly infinite hypothesis class F . We will make a generalization with respect to the previous results. In this lecture, we have z ∈ Z and we use a hypothesis (∀h ∈ F) h : Z → R. This setting is more general than for predic...

The paper deals with the particle filter in state estimation of a discrete-time nonlinear non-Gaussian system. The goal of the paper is to design a sample size adaptation technique to guarantee the quality of an empirical probability density function (pdf) which approximates a target filtering pdf. The quality is measured by inaccuracy (cross-information) between the empirical pdf and the filte...

In the area of requirements engineering there are elicitation techniques that are based on business context to identify the software requirements. However, these techniques do not commonly use business processes models as a source of information relevant to the elicitation of requirements. Such techniques extract use cases from business processes models. However, before modeling use cases, it i...